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28490454146025 = 325252126832
BaseRepresentation
bin1100111101001011100110…
…11001100001101111101001
310201212122211201211222212100
412132211303121201233221
512213241422230133100
6140332200044404013
76000240004343454
oct636456331415751
9121778751758770
1028490454146025
119094808691353
123241783546609
1312b883b457351
14706d3401849b
1534617e87d400
hex19e973661be9

28490454146025 has 81 divisors (see below), whose sum is σ = 51202669551397. Its totient is φ = 15143539382400.

The previous prime is 28490454146023. The next prime is 28490454146051. The reversal of 28490454146025 is 52064145409482.

The square root of 28490454146025 is 5337645.

It is a perfect power (a square), and thus also a powerful number.

28490454146025 is a `hidden beast` number, since 2 + 8 + 4 + 90 + 4 + 541 + 4 + 6 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3576739565529 + 24913714580496 = 1891227^2 + 4991364^2 .

It is not a de Polignac number, because 28490454146025 - 21 = 28490454146023 is a prime.

It is a super-2 number, since 2×284904541460252 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28490454146023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 41713695334 + ... + 41713696016.

Almost surely, 228490454146025 is an apocalyptic number.

28490454146025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28490454146025 is the 5337645-th square number.

28490454146025 is the 2668823-rd centered octagonal number.

It is an amenable number.

28490454146025 is a deficient number, since it is larger than the sum of its proper divisors (22712215405372).

28490454146025 is an frugal number, since it uses more digits than its factorization.

28490454146025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 28490454146025 in words is "twenty-eight trillion, four hundred ninety billion, four hundred fifty-four million, one hundred forty-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 521 683 1563 2049 2605 3415 4689 6147 7815 10245 13025 17075 23445 30735 39075 51225 117225 153675 271441 355843 466489 814323 1067529 1357205 1399467 1779215 2332445 2442969 3202587 4071615 4198401 5337645 6786025 6997335 8896075 11662225 12214845 16012935 20358075 20992005 26688225 34986675 61074225 80064675 104960025 185394203 243040769 556182609 729122307 926971015 1215203845 1668547827 2187366921 2780913045 3645611535 4634855075 6076019225 8342739135 10936834605 13904565225 18228057675 41713695675 54684173025 126624240649 379872721947 633121203245 1139618165841 1899363609735 3165606016225 5698090829205 9496818048675 28490454146025